以多模态教学理论为基础,通过两年的实证研究,采用测试及访谈法,即:定量和定性两种研究方法,探讨与传统听力教学模式向对比,听力多模态课堂教学与多模态自主学习相结合模式(The Combination of Autonomous Learning and Multi-modal Cla...以多模态教学理论为基础,通过两年的实证研究,采用测试及访谈法,即:定量和定性两种研究方法,探讨与传统听力教学模式向对比,听力多模态课堂教学与多模态自主学习相结合模式(The Combination of Autonomous Learning and Multi-modal Classroom Teaching Mode,即CAL&MCTM)和多模态课堂教学模式(Multimodal Classroom Teaching Model,即MCTM)的效能。结果表明:CAL&MCTM和MCTM对提高学习者的听力水平均有帮助,但比较而言,CAL&MCTM更有效,并且更受学习者的欢迎。展开更多
We analytically and numerically study a 1 D tight-binding model with tunable incommensurate potentials.We utilize the self-dual relation to obtain the critical energy,namely,the mobility edge.Interestingly,we analytic...We analytically and numerically study a 1 D tight-binding model with tunable incommensurate potentials.We utilize the self-dual relation to obtain the critical energy,namely,the mobility edge.Interestingly,we analytically demonstrate that this critical energy is a constant independent of strength of potentials.Then we numerically verify the analytical results by analyzing the spatial distributions of wave functions,the inverse participation rate and the multifractal theory.All numerical results are in excellent agreement with the analytical results.Finally,we give a brief discussion on the possible experimental observation of the invariable mobility edge in the system of ultracold atoms in optical lattices.展开更多
基金supported by the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20200737)NUPTSF(Grants Nos.NY220090 and NY220208)+2 种基金the National Natural Science Foundation of China(Grant No.12074064)the Innovation Research Project of Jiangsu Province,China(Grant No.JSSCBS20210521)NJUPT-STITP(Grant No.XYB2021294)。
文摘We analytically and numerically study a 1 D tight-binding model with tunable incommensurate potentials.We utilize the self-dual relation to obtain the critical energy,namely,the mobility edge.Interestingly,we analytically demonstrate that this critical energy is a constant independent of strength of potentials.Then we numerically verify the analytical results by analyzing the spatial distributions of wave functions,the inverse participation rate and the multifractal theory.All numerical results are in excellent agreement with the analytical results.Finally,we give a brief discussion on the possible experimental observation of the invariable mobility edge in the system of ultracold atoms in optical lattices.
